On the Notion of Relative Property (T) for Inclusions of Von Neumann Algebras

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dc.creatorPeterson, Jesse
dc.creatorPopa, Sorin
dc.date2004-02-25
dc.date2004-03-21
dc.date.accessioned2026-07-07T05:05:44Z
dc.date.available2026-07-07T05:05:44Z
dc.descriptionWe prove that the notion of relative property (T) (or rigidity) for inclusions of finite von Neumann algebras defined in [Po1] is equivalent to a weaker property, in which no ``continuity constants'' are required. The proof is by contradiction and uses infinite products of completely positive maps, regarded as correspondences.
dc.description12 pages; additions on 03/17/04, 15 pages
dc.identifierhttps://arxiv.org/abs/math/0402417
dc.identifierhttp://arxiv.org/abs/math/0402417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70278
dc.subjectOperator Algebras
dc.subject46L10, 22D25, 22D10
dc.titleOn the Notion of Relative Property (T) for Inclusions of Von Neumann Algebras
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